Principal Quasi-Baerness of Skew Power Series Rings
Received:January 17, 2003  
Key Words: weakly rigid endomorphism   p.q.Baer ring   skew power series ring.  
Fund Project:National Natural Science Foundation of China (10171082), TRAPOYT, the Cultivation Fundof the Key Scientific and Technical Innovation Project, Ministry of Education of China
Author NameAffiliation
LIU Zhong-kui Dept. of Math.
Northwest Normal University
Lanzhou
China 
FAN Wei-li Dept. of Math.
Northwest Normal University
Lanzhou
China 
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Abstract:
      Let R be a ring such that all left semicentral idempotents axe central and α a weakly rigid endomorphism of R. It is shown that the skew power series ring R[[x; α]] is right p.q.Baer if and only if R is right p.q.Baer and any countable family of idempotents in R has a generalized join in I(R), where I(R) is the set of all idempotents of R.
Citation:
DOI:10.3770/j.issn:1000-341X.2005.02.002
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